US6060710A - Infrared Mueller matrix detection and ranging system - Google Patents
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- US6060710A US6060710A US09/226,631 US22663198A US6060710A US 6060710 A US6060710 A US 6060710A US 22663198 A US22663198 A US 22663198A US 6060710 A US6060710 A US 6060710A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J4/00—Measuring polarisation of light
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F18/00—Pattern recognition
- G06F18/20—Analysing
- G06F18/21—Design or setup of recognition systems or techniques; Extraction of features in feature space; Blind source separation
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Abstract
Description
ψ'=P.sub.r G.sub.r ψG.sub.t P.sub.r ; (1)
s.sup.r =ψ's.sup.t. (2)
I.sub.f =ψ.sub.11 +I(jω.sub.1, kω.sub.2, jω.sub.1 ±kω.sub.2), (3)
TABLE 1(a) ______________________________________ TRANSMITTER RECEIVER Linear Photoelastic Photoelastic Linear Polarizer Modulator Modulator Polarizer ______________________________________ (Case 1) Vertical -45 ° +45 ° Vertical (Case 2) Vertical -45 ° Vertical -45 ° (Case 3) +45 ° Vertical Vertical -45 ° (Case 4) +45 ° Vertical +45 ° Vertical ______________________________________
TABLE 1(b) ______________________________________ ψ.sub.11 ψ.sub.12 ψ.sub.13 ψ.sub.14 ______________________________________ dc 2ω.sub.1 (0.431) 0 ω.sub.1 (0.520) dc 2ω.sub.1 (0.431) 0 ω.sub.1 (0.520) dc 0 2ω.sub.1 (0.431) ω.sub.1 (0.520) dc 0 2ω.sub.1 (0.431) ω.sub.1 (0.520) ______________________________________ ψ.sub.21 ψ.sub.22 ψ.sub.23 ψ.sub.24 ______________________________________ 2ω.sub.2 (0.431) 2ω.sub.2 - 2ω.sub.1 (0.186) 0 ω.sub.1 + 2ω.sub.2 (0.224) 0 0 0 0 0 0 0 0 2ω.sub.2 (0.431) 0 2ω.sub.2 - 2ω.sub.1 (0.186) ω.sub.1 + 2ω.sub.2 (0.224) ______________________________________ ψ.sub.31 ψ.sub.32 ψ.sub.33 ψ.sub.34 ______________________________________ 0 0 0 0 2ω.sub.2 (0.431) 2ω.sub.2 - 2ω.sub.1 (0.186) 0 ω.sub.1 + 2ω.sub.2 (0.224) 2ω.sub.2 (0.431) 0 2ω.sub.2 - 2ω.sub.1 (0.186) ω.sub.1 + 2ω.sub.2 (0.224) 0 0 0 0 ψ.sub.41 ψ.sub.42 ψ.sub.43 ψ.sub.44 ______________________________________ ω.sub.2 (0.520) 2ω.sub.1 + ω.sub.2 (0.224) 0 ω.s ub.1 + ω.sub.2 (0.270) ______________________________________ ω.sub.2 (0.520) 2ω.sub.1 + ω.sub.2 (0.224) 0 ω.s ub.1 + ω.sub.2 (0.270) ω.sub.2 (0.520) 0 2ω.sub.1 + ω.sub.2 (0.224) ω.s ub.1 + ω.sub.2 (0.270) ω.sub.2 (0.520) 0 2ω.sub.1 + ω.sub.2 (0.224) ω.s ub.1 + ω.sub.2 (0.270) ______________________________________
TABLE 2 ______________________________________ Incident Strokes Vector, Final Strokes Vector (POL optic orientations) Lock-in [Optic Calibrator, Mueller Element, signal waveform] CH Frequency V, V V, -45 ° +45 °, -45 ° +45 °, V ______________________________________ 1 dc Air, 11, -- -- -- unity 2 ω.sub.2 P(0)Q(ρ), -- -- -- 41, 1/2sin2ρ 3 ω.sub.1 Q(ρ)P(0), -- -- -- 14, -1/2sin2ρ 4 2ω.sub.2 -- -- P(θ), 31, P(θ), 21, 1/2sin2θ 1/2cos2θ 5 2ω.sub.1 -- P(θ), 12, P(θ), 13, -- 1/2cos2θ 1/2sin2θ 6 ω.sub.1 + ω.sub.2 Air, 44, -- -- -- unity 7 2ω.sub.2 + ω.sub.1 Q(ρ), 24, Q(ρ), 34, -- -- -sin2ρ cos2ρ 8 2ω.sub.1 + ω.sub.2 -- Q(ρ), 42, Q(ρ), 43, -- sin2ρ -cos2ρ 9 2ω.sub.1 + 2ω.sub.2 Q(ρ), 22, Q(ρ), 32, Q(ρ), 33, Q(ρ), 23, cos.sup.2 2ρ (cos2ρ) sin.sup.2 ρ (cos2ρ) (sin2ρ) (sin2ρ) ______________________________________
Δψ.sup.scale.sub.ij (90°)=(Δψ.sub.ij (90°)-<Δψ.sub.ij (90°)>)/SD.
TABLE 3 __________________________________________________________________________ Compound i,j off-beam ψi,j on-beam ψi,j Δψ(mean) on/off __________________________________________________________________________ DL-alanine 1,2 1049.3 -0.094(0.169) 1024.6 0.180(0.093) 1.340(0.876) -0.071 4,3 0.086(0.041) -0.022(0.022) -0.114(0.057) -0.035 3,1 0.246(0.112) 920.0 0.001(0.023) -0.698(0.347) -0.135 4,3 0.086(0.041) -0.009(0.010) -0.091(0.046) -0.058 1,2 -0.094(0.169) 851.8 0.169(0.082) 0.876(0.919) -0.049 4,3 0.086(0.041) 0.008(0.019) -0.079(0.053) -0.014 L-alanine 4,2 1050.4 0.004(0.048) 1024.6 0.111(0.035) 0.162(0.091) -0.024 1,2 -0.001(0.124) 919.1 0.215(0.087) 0.274(0.579) -0.017 4,3 0.021(0.034) 851.8 -0.023(0.012) -0.029(0.034) -0.045 DL-aspartic 4,3 999.0 0.053(0.021) 1071.8 0.021(0.011) -0.020(0.018) -0.070 (amino) acid (1R)-(+)- 1,2 838.9 0.223(0.036) 1044.9 -0.056(0.016) -0.214(0.053) -0.527 camphor 2,1 -0.040(0.070) 0.109(0.033) 0.489(0.190) -0.352 (1S)-(-)- 4,3 935.5 0.019(0.005) 1042.8 0.004(0.010) -0.003(0.004) -0.070 camphor D-fructose 1,2 861.3 0.471(0.096) 977.5 -0.113(0.096) -1.683(0.136) 0.001 1,2 0.471(0.096) 1082.3 0.145(0.055) -0.554(0.373) -0.248 1,3 -0.070(0.017) -0.003(0.028) 0.043(0.027) -0.005 1,4 6.033(0.016) -0.008(0.014) -0.022(0.012) -0.045 2,1 0.014(0.164) 0.647(0.124) 2.949(1.101) -0.038 D-glucose 2,4 932.0 0.112(0.016) 838.9 0.087(0.033) -0.023(0.035) -0.020 L-histidine 1,2 1025.6 0.132(0.075) 997.5 -0.001(0.037) -0.273(0.184) -0.069 2,1 0.269(0.175) -0.082(0.077) -1.757(0.991) -0.104 3,4 -0.087(0.053) 968.1 0.033(0.025) 0.194(0.090) -0.022 3,4 -0.087(0.053) 923.4 0.021(0.022) 0.169(0.085) -0.054 2,1 0.269(0.175) 838.9 -0.023(0.191) -1.991(1.770) -0.054 2,3 0.015(0.022) -0.024(0.015) -0.033(0.018) -0.002 D-mannose 1,2 899.3 0.333(0.133) 1040.0 -0.016(0.034) -0.852(0.476) -0.015 2,3 0.009(0.018) 969.9 -0.035(0.009) -0.021(0.010) -0.025 L-serine 1,2 945.2 0.319(0.147) 1012.1 0.092(0.072) -0.782(0.706) -0.064 2,3 0.011(0.029) -0.025(0.005) -0.031(0.022) -0.037 4,3 0.091(0.037) 0.014(0.003) -0.055(0.036) -0.077 4,3 0.091(0.037) 1039.5 -0.017(0.025) -0.102(0.053) -0.053 --,-- -- 854.7 -- -- -- --,-- -- 920.0 -- -- -- L-sorbose 1,3 849.6 0.000(0.008) 829.9 0.026(0.004) 0.003(0.002) -0.017 3,2 -0.023(0.004) 0.006(0.004) 0.002(0.001) -0.001 4,2 0.006(0.006) 0.018(0.006) 0.001(0.002) -0.057 4,3 0.010(0.004) 0.021(0.004) 0.001(0.001) -0.057 2,4 0.013(0.008) 992.1 -0.033(0.033) -0.051(0.029) -0.034 4,2 0.006(0.006) 0.052(0.021) 0.019(0.013) -0.080 1,3 0.000(0.008) 1048.2 0.204(0.034) 0.168(0.031) -0.048 2,1 -0.147(0.049) 0.114(0.167) 0.549(0.861) -0.237 3,4 0.004(0.008) -0.074(0.033) -0.077(0.029) -0.002 DL-tartaric --,-- 1038.4 -- 1094.1 -- -- -- acid --,-- -- 982.3 -- -- -- 2,4 -0.081(0.059) 887.3 0.036(0.027) 0.211(0.112) -0.075 4,2 0.075(0.042) 0.007(0.019) -0.068(0.053) -0.019 L-tartaric acid 1,3 1029.9 0.058(0.015) 1082.3 0.188(0.030) 0.105(0.029 ) -0.001 2,1 0.208(0.126) 0.704(0.154) 1.587(1.081) -0.089 3,1 0.120(0.056) -0.310(0.092) -1.101(0.270) -0.074 3,4 -0.039(0.014) 0.131(0.020) 0.099(0.015) -0.031 4,3 -0.038(0.007) 0.011(0.013) 0.003(0.005) -0.060 D-tartaric acid 1,3 1029.9 0.081(0.035) 1082.3 0.396(0.085) 0.552(0.222 ) -0.080 4,3 0.002(0.014) 0.062(0.030) 0.011(0.032) -0.198 L-tryptophan 4,3 833.3 0.036(0.020) 1005.0 -0.006(0.011) -0.020(0.013) -0.028 L-tyrosine 3,4 925.1 0.117(0.063) 878.7 0.003(0.020) 0.190(0.112) -0.048 1,2 0.299(0.148) 1095.3 -0.007(0.098) -1.210(0.838) -0.074 4,3 -0.041(0.023) 0.049(0.024) 0.076(0.029) -0.073 --,-- -- 1041.7 -- -- -- --,-- -- 984.3 -- -- -- --,-- -- 939.8 -- -- -- --,-- -- 897.7 -- -- -- __________________________________________________________________________
TABLE 4 ______________________________________ INCIDENT BEAM PULSE SEQUENCES (SA, PPR, BD) OF FIG. 5 Variable Beam Splitter V1 T = 1 R = 1 ______________________________________ Variable Beam T = 1 (L3, L1, L2) (L1, L3, L2) Splitter V2 R = 1 (L3, L2, L1) (L2, L3, L1) VBS ACTIVATION CYCLE → V1:V2 (T:T.sub.-- T:R.sub.-- R:T.sub.-- T:T.sub.-- T:R.sub.-- R:R.sub.-- . . . ) ∀ T = 1, R = 1. ______________________________________
Claims (13)
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